On the contrary, it's a good idea to include as much detail as possible about other financial obligations and difficulties to try to force them to be more amenable.
However, banks tend to be less flexible, in contrast to lenders like MBNA and debt buyers. Banks used to demand at least 80% - or certainly more than 50% - through fear of setting precedents which would encourage low settlements with others. Without a crystal ball, it's hard to say what anyone will take at any given time though.
If the pretrial settlement conference failed, the judge at trial would almost certainly give you lower payment terms than what you are prepared to pay now, after you disclosed your situation. And even then, if you drew a nasty judge, you could always make a motion seeking payment terms allowed by your circumstances. A different judge would hear that motion. After all, the courts are generally aware that you can't draw blood from a stone though collection lawyers will swear you can.